Mechanism model of belt grinding considering single abrasive action
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摘要: 针对磨削过程中材料的定量去除问题,从微观单磨粒角度出发,综合运用弹塑性变形、赫兹接触以及概率统计等理论及方法,构建砂带磨削的材料去除机理模型。首先,分析磨削过程中单个磨粒在工件不同变形阶段的材料去除机理,并根据试验计算结果对该磨削过程进行简化,给出单磨粒受力计算方法;在此基础上,基于磨粒数目与出刃高度分布函数,运用概率统计理论建立微观磨粒与宏观磨削压力平衡方程,求解磨粒切入深度分布函数;再结合单磨粒材料去除体积,用积分运算构建总体材料去除模型;最后通过机器人磨削平台进行TC4合金曲面磨削试验得到材料最大去除深度。结果表明:材料最大去除深度随磨削压力和砂带线速度增大而增大,随砂带进给速度增大而减小;且理论模型的理论预测值与试验值比较,其最大相对误差为17.66%,平均相对误差为10.55%,验证了模型的有效性。Abstract: To solve the problem of quantitative material removal in the grinding process, based on the theories and methods of elastic-plastic deformation, Hertz contact and probability statistics, the material removal mechanism model of belt grinding was constructed from the perspective of micro single abrasive. Firstly, the material removal mechanism of a single abrasive at different deformation stages of workpiece during grinding was analyzed, the grinding process was simplified according to the experimental calculation results, and the calculation method of force on a single abrasive particle was given. On this basis, based on the distribution function of the number of abrasive particles and the blade heights, the equilibrium equation of micro abrasive particles and macro grinding pressure was established by using the theory of probability and statistics, which was used to obtain the cutting depth distribution function of the particles. Combined with the material removal volume of a single abrasive particle, the total material removal model was constructed by integral operation. Finally, the maximum material removal depth was obtained through the TC4 alloy grinding experiment on the robotic grinding platform. The results show that the maximum material removal depth increases with the increase of grinding pressure and belt linear velocity, and decreases with the increase of belt feeding speed. The maximum relative error is 17.66% and the average relative error is 10.55% between the theoretical predicted value and the experimental value, which verifies the validity of the model.
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Key words:
- belt grinding /
- micro abrasive /
- cutting depth /
- balance equation
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